I still, at times, use handheld meters.
Part of that is that I still use some film.
When I am intentionally out to do landscapes, I have a Pentax Spotmeter along. My bag carries a D200, a TLR (for B&W), & an F2a (Velvia).
I have started using the spotmeter with the D200 (set to manual), more.
Reasons:
I can, with the camera on a tripod, the scene composed, check where I want to put tonalities etc. in the picture, without moving the camera around. I like doing it that way.
I find the D200's matrix metering to be excellent. But as an "old slide & zone shooter" the more deliberate approach is still useful, to me. Also, in switching between the medium format TLR, and the D200, it "fits" in the flow.
BTW:
I rarely, but on occasion, use an incident meter with my walk-around DSLR, if I also am carrying a film body (and hence, have the meter along). For my shooting style, it can be handy in weird light.
I think, that if shooting digitally, and outside of the question of flash meters; whether or not you use a handheld meter depends upon, your subject matter, whether or not you "previsualize" through the whole PP when you are shooting, etc.
For me it is nice to use when I can. For others, with different styles, it would be a waste of time and an unnecessary expense.
I noticed you never mention the histogram. I can appreciate your need for a meter when shooting film. But I think your carrying it over to digital landscapes is really something to file in the "old habits hard to break" file. And exposing for film is not the same as exposing for digital raw. Are you awear of this fact? And if so, how can a hand held meter be worked into your raw digital exposing workflow?
Did you know that you could get no less quality or even better quality from digital raw if you were forced to expose without a light meter?